Determine whether the sequence ((-1)^n) / n converges, and find the limit of the sequence.

I know it does converge to 0, but I'm not sure how to go about solving this. i want to show that the abs( (-1)^n / n - A) < epsilon for all positive epsilon, but when i try and solve to get n, i end up having to take a log and i get stuck any helpful hints? Thanks!